A researcher has Critical Value(s) = Test Statistic = p-Value = H₂:μ=22 H:μ>22 with 38 samples having a mean of 22.8 and with =1.6. She wants to test at the 91% level (separate with a comma if there are two)

A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =

A type of casting iron has Hall-Petch parameters: σ0 = 36.3 MPa and K = 6.5 MPa ∙ mm^−0.5. For a given sample, the grain size distribution is shown in the diagram below. Each bar represents the percentage of grains in particular size. First, estimate the average grain size based on concept of “weighted mean” (in case you do not know, search for this term). Then, apply Hall-Petch Equation to calculate the yield stress. (Note: 1 μm = 0.001 mm)

A test was made of Ho: u, = H, versus H,: µ, < µ,. The sample means were x, = 7 and 14, the sample standard deviations were s 5 and s, = 6, and the sample sizes 14 and n, 19. were n

A sample is selected from a population withu = 50. After a treatment is administered to the 16 individuals in the sample, the mean is found to be M = 55 and the standard deviation is s = 8, What is the test statistic for the sample mean?

#1) Flying time on an old route between 2 cities has a mean value of µ =5.25 hours with standard deviation is o =0.6 hours. There are 36 flights on a new route where the mean is x = 4.90 hours. Does this indicate that the average flying time for the new route is less than 5.25 hours? Use a 5% level of significance.

Consider the variable X whose mean and variance are given respectively by μx = 28.4 and Var(X) =8.6. Next consider the variable Y such that Y = 18.6 X-52 What is the mean of variable Y?

A sumple from a normal population with mu = 50 and sigma = 6 of M=48.20, . the sample mean.corresponds to tz = - 1.50 , then how many scores are in the sample?

Suppose that three drugs used to reduce cholesterol are compared in a randomized experiment in which three people use each drug for a month. The data for the reductions in cholesterol level for the N = 9 participants follow. Drug 1 Drug 2 Drug 3 6 10 4 14 12 2 9 6 Calculate the F-statistic for comparing the mean cholesterol reductions for the three drugs. What is the value of F? (report to 2 decimal places) What are the degrees of freedom for this statistic - Between df? ,Within df?

At the alpha = 0.01 level , what is the correct conclusion for this test? The daily temperatures in fall and winter months in Virginia have a mean of 62F. A meteorologist in southwest Virginia believes the mean temperature is colder in this area. The meteorologist takes a random sample of 30 daily temperatures from the fall and winter months over the last five years in southwest Virginia. The mean temperature for the sample is 59 degrees * F with a standard deviation of 6.21 degrees * F The meteorologist conducts a one -sample t-test for and calculates a P value of 0.007. The meteorologist should reject the null hypothesis since 0.007 < 0.01 . There is convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62 F. The meteorologist should reject the null hypothesis since 0.007 < 0.01 . There is not convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62 F. The meteorologist…